About this simulation

From previous analysis (“powerdown_unbalanced”), it appears that ComBat-seq works when there is variance batch effect AND when there is some level of confounding between batch and condition (i.e. in unbalanced study design). We dig deeper in these two factors.

Simulation setup

Note that the fixed parameters are consistent with (i.e. within the range of) my observations from real datasets (See explore_real_data for details).

Two factors under examination are dispersion fold change and level of confounding. Confounding level is measured by how many percentage of samples in batch 1 is control samples. 2 batches have the same size, but in batch 2, the number of controls and cases are reversed compared to batch 1. Grids for the two factors:

Results

TPR vs FPR

Line plots

Facet by confounding levels

Facet by dispersion levels

Scatter plots

TPR (sensitivity) vs FDR (1-precision)

Line plots

Facet by confounding levels

Facet by dispersion levels

Scatter plots

Similar plot (sensitivity vs 1-FDR) as Figure 6 in DESeq2 paper.

Thoughts & future work

---
title: "Application of ComBat-seq on simulated datasets"
subtitle: "Levels of dispersion differences and confounding"
author: Yuqing Zhang
date: "`r Sys.Date()`"
output:
  html_notebook:
    theme: united
    toc: yes
---

## About this simulation

From previous analysis (*"powerdown_unbalanced"*), it appears that ComBat-seq works when there is variance batch effect **AND** when there is some level of confounding between batch and condition (i.e. in unbalanced study design). We dig deeper in these two factors.


## Simulation setup

* Mean fold changes: Biological - 2, Batch - 1.5 
* Dispersion: Batch 1 - 0.15, Batch 2 - 0.15***dispersion fold level**
* Study design: **Different levels of confounding**
* Reads per gene: Median 120 (coverage 5)
* Total number of samples: 20 (*we look at N=60 later in comparison to see if patterns hold*)

Note that the fixed parameters are consistent with (i.e. within the range of) my observations from real datasets (See explore_real_data for details). 

Two factors under examination are dispersion fold change and level of confounding. Confounding level is measured by **how many percentage of samples in batch 1 is control samples**. 2 batches have the same size, but in batch 2, the number of controls and cases are reversed compared to batch 1. Grids for the two factors:

* Dispersion level: 1 (no dispersion difference), 2, 3, 4, 5
* Confounding: 0.5 (no confounding), 0.4, 0.3, 0.2

```{r, echo=FALSE, results='hide'}
rm(list=ls())
sapply(c("ggplot2", "gridExtra", "reshape2", "ggpubr"), require, character.only=TRUE)
results_dir <- "~/Google Drive/ComBat_seq/DE_disp_confounding_base"
#results_dir <- "~/yuqingz/ComBat_seq/DE_disp_confounding_base"
N_samples <- 60

disp_level_vec <- 1:5
confounding_level_vec <- seq(from=0.5,to=0.2,by=-0.1)
sel_method_list <- list(edgeR=c("BaseIndi.edgeR", #"BaseQuant.edgeR", 
                                "Batch.edgeR", "OneStep.edgeR", "ComBat.lm", 
                                "RUVseq.edgeR", "SVAseq.edgeR", "ComBatseq.edgeR"),
                        DESeq2=c("BaseIndi.DESeq2", #"BaseQuant.DESeq2", 
                                 "Batch.DESeq2", "OneStep.DESeq2", "ComBat.lm", 
                                 "RUVseq.DESeq2", "SVAseq.DESeq2", "ComBatseq.DESeq2"))
```


## Results 

### TPR vs FPR {.tabset}

```{r, echo=FALSE, results='hide'}
fpr_all_lst <- tpr_all_lst <- list()
for(i in 1:length(confounding_level_vec)){
  fpr_all_lst[[i]] <- tpr_all_lst[[i]] <- list()
  for(j in 1:length(disp_level_vec)){
    exp_name <- paste0("simDCbase_N", N_samples, "_dispFC", disp_level_vec[j],
                       "_percent", gsub(".","", confounding_level_vec[i], fixed=T))
    tpr_res <- read.csv(file.path(results_dir, sprintf('tpr_%s.csv', exp_name)))
    fpr_res <- read.csv(file.path(results_dir, sprintf('fpr_%s.csv', exp_name)))
    
    tpr_res$BaseQuant.edgeR <- NULL; tpr_res$BaseQuant.DESeq2 <- NULL
    fpr_res$BaseQuant.edgeR <- NULL; fpr_res$BaseQuant.DESeq2 <- NULL
    
    tpr_all_lst[[i]][[j]] <- as.list(colMeans(tpr_res, na.rm=TRUE))
    fpr_all_lst[[i]][[j]]  <- as.list(colMeans(fpr_res, na.rm=TRUE))
  }
  names(tpr_all_lst[[i]]) <- names(fpr_all_lst[[i]]) <- paste0("Disp", disp_level_vec)
}
names(tpr_all_lst) <- names(fpr_all_lst) <- paste0("Cnfnd", confounding_level_vec)

## All methods
tpr_merged <- melt(tpr_all_lst); colnames(tpr_merged) <- c("TPR", "Method", "Disp", "Cnfnd")
fpr_merged <- melt(fpr_all_lst); colnames(fpr_merged) <- c("FPR", "Method", "Disp", "Cnfnd")
tpr_merged$Method <- factor(tpr_merged$Method, levels=colnames(tpr_res))
fpr_merged$Method <- factor(fpr_merged$Method, levels=colnames(fpr_res))
tpr_merged$Cnfnd <- factor(tpr_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))
fpr_merged$Cnfnd <- factor(fpr_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))


## edgeR only
tpr_edgeR_lst <- lapply(tpr_all_lst, function(t1_lst){lapply(t1_lst, function(t2_lst){t2_lst[sel_method_list$edgeR]})})
fpr_edgeR_lst <- lapply(fpr_all_lst, function(f1_lst){lapply(f1_lst, function(f2_lst){f2_lst[sel_method_list$edgeR]})})

tpr_edgeR_merged <- melt(tpr_edgeR_lst); colnames(tpr_edgeR_merged) <- c("TPR", "Method", "Disp", "Cnfnd")
fpr_edgeR_merged <- melt(fpr_edgeR_lst); colnames(fpr_edgeR_merged) <- c("FPR", "Method", "Disp", "Cnfnd")
tpr_edgeR_merged$Method <- factor(tpr_edgeR_merged$Method, levels=sel_method_list$edgeR)
fpr_edgeR_merged$Method <- factor(fpr_edgeR_merged$Method, levels=sel_method_list$edgeR)
tpr_edgeR_merged$Cnfnd <- factor(tpr_edgeR_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))
fpr_edgeR_merged$Cnfnd <- factor(fpr_edgeR_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))


## DESeq2 only
tpr_DESeq2_lst <- lapply(tpr_all_lst, function(t1_lst){lapply(t1_lst, function(t2_lst){t2_lst[sel_method_list$DESeq2]})})
fpr_DESeq2_lst <- lapply(fpr_all_lst, function(f1_lst){lapply(f1_lst, function(f2_lst){f2_lst[sel_method_list$DESeq2]})})

tpr_DESeq2_merged <- melt(tpr_DESeq2_lst); colnames(tpr_DESeq2_merged) <- c("TPR", "Method", "Disp", "Cnfnd")
fpr_DESeq2_merged <- melt(fpr_DESeq2_lst); colnames(fpr_DESeq2_merged) <- c("FPR", "Method", "Disp", "Cnfnd")
tpr_DESeq2_merged$Method <- factor(tpr_DESeq2_merged$Method, levels=sel_method_list$DESeq2)
fpr_DESeq2_merged$Method <- factor(fpr_DESeq2_merged$Method, levels=sel_method_list$DESeq2)
tpr_DESeq2_merged$Cnfnd <- factor(tpr_DESeq2_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))
fpr_DESeq2_merged$Cnfnd <- factor(fpr_DESeq2_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))
```


#### Line plots {.tabset}

##### Facet by confounding levels

```{r, echo=FALSE}
## All methods
p_fpr <- ggplot(fpr_merged, aes(x=Disp, y=FPR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="All") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
  #theme(axis.text.x=element_blank(), axis.title.x=element_blank()) 
p_tpr <- ggplot(tpr_merged, aes(x=Disp, y=TPR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  #labs(title="All") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_all <- ggarrange(plotlist=list(p_fpr, p_tpr), nrow=2, 
                   common.legend=TRUE, legend="bottom")#, heights=c(5.5,6))

## edgeR only
p_edgeR_fpr <- ggplot(fpr_edgeR_merged, aes(x=Disp, y=FPR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="edgeR") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
  #theme(axis.text.x=element_blank(), axis.title.x=element_blank()) 
p_edgeR_tpr <- ggplot(tpr_edgeR_merged, aes(x=Disp, y=TPR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  #labs(title="edgeR") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_edgeR <- ggarrange(plotlist=list(p_edgeR_fpr, p_edgeR_tpr), nrow=2, 
                     common.legend=TRUE, legend="bottom")#, heights=c(5.5,6))

## DESeq2 only
p_DESeq2_fpr <- ggplot(fpr_DESeq2_merged, aes(x=Disp, y=FPR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="DESeq2") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
  #theme(axis.text.x=element_blank(), axis.title.x=element_blank()) 
p_DESeq2_tpr <- ggplot(tpr_DESeq2_merged, aes(x=Disp, y=TPR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  #labs(title="DESeq2") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_DESeq2 <- ggarrange(plotlist=list(p_DESeq2_fpr, p_DESeq2_tpr), nrow=2, 
                      common.legend=TRUE, legend="bottom")#, heights=c(5.5,6))

#p <- ggarrange(plotlist=list(p_all, p_edgeR, p_DESeq2), nrow=3)
p <- ggarrange(plotlist=list(p_edgeR, p_DESeq2), nrow=2)
```

```{r, echo=FALSE, fig.width=5, fig.height=7}
p
```


##### Facet by dispersion levels

```{r, echo=FALSE}
## All methods
p_fpr <- ggplot(fpr_merged, aes(x=Cnfnd, y=FPR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="All") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
  #theme(axis.text.x=element_blank(), axis.title.x=element_blank()) 
p_tpr <- ggplot(tpr_merged, aes(x=Cnfnd, y=TPR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  #labs(title="All") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_all <- ggarrange(plotlist=list(p_fpr, p_tpr), nrow=2, 
                   common.legend=TRUE, legend="bottom")#, heights=c(5.5,6))

## edgeR only
p_edgeR_fpr <- ggplot(fpr_edgeR_merged, aes(x=Cnfnd, y=FPR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="edgeR") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
  #theme(axis.text.x=element_blank(), axis.title.x=element_blank()) 
p_edgeR_tpr <- ggplot(tpr_edgeR_merged, aes(x=Cnfnd, y=TPR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  #labs(title="edgeR") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_edgeR <- ggarrange(plotlist=list(p_edgeR_fpr, p_edgeR_tpr), nrow=2, 
                     common.legend=TRUE, legend="bottom")#, heights=c(5.5,6))

## DESeq2 only
p_DESeq2_fpr <- ggplot(fpr_DESeq2_merged, aes(x=Cnfnd, y=FPR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="DESeq2") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
  #theme(axis.text.x=element_blank(), axis.title.x=element_blank()) 
p_DESeq2_tpr <- ggplot(tpr_DESeq2_merged, aes(x=Cnfnd, y=TPR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  #labs(title="DESeq2") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_DESeq2 <- ggarrange(plotlist=list(p_DESeq2_fpr, p_DESeq2_tpr), nrow=2, 
                      common.legend=TRUE, legend="bottom")#, heights=c(5.5,6))

#p <- ggarrange(plotlist=list(p_all, p_edgeR, p_DESeq2), nrow=3)
p <- ggarrange(plotlist=list(p_edgeR, p_DESeq2), nrow=2)
```

```{r, echo=FALSE, fig.width=5.5, fig.height=7}
p
```


#### Scatter plots

```{r, echo=FALSE}
if(identical(fpr_merged[,-1], tpr_merged[,-1])){
  perfstats_all <- data.frame(TPR=tpr_merged$TPR, FPR=fpr_merged$FPR, tpr_merged[,-1])
}else{stop("ERROR in merging data frames! - All")}
#identical(perfstats_all[,-1],fpr_merged)

if(identical(fpr_edgeR_merged[,-1], tpr_edgeR_merged[,-1])){
  perfstats_edgeR <- data.frame(TPR=tpr_edgeR_merged$TPR, FPR=fpr_edgeR_merged$FPR, tpr_edgeR_merged[,-1])
}else{stop("ERROR in merging data frames! - edgeR")}
#identical(perfstats_edgeR[,-1], fpr_edgeR_merged)

if(identical(fpr_DESeq2_merged[,-1], tpr_DESeq2_merged[,-1])){
  perfstats_DESeq2 <- data.frame(TPR=tpr_DESeq2_merged$TPR, FPR=fpr_DESeq2_merged$FPR, tpr_DESeq2_merged[,-1])
}else{stop("ERROR in merging data frames! - DESeq2")}
#identical(perfstats_DESeq2[,-1], fpr_DESeq2_merged)

```

```{r, echo=FALSE}
p2_all <- ggplot(perfstats_all, aes(x=FPR, y=TPR, group=Method, color=Method, shape=Method)) +
  geom_point(size=3) +
  facet_grid(Cnfnd~Disp) +
  scale_shape_manual(values=1:nlevels(perfstats_all$Method)) +
  geom_vline(xintercept=0.05, linetype="dashed") +
  labs(title="All methods") +
  theme_bw() +
  theme(axis.text.x=element_text(angle=45, hjust=1)) 

p2_edgeR <- ggplot(perfstats_edgeR, aes(x=FPR, y=TPR, group=Method, color=Method, shape=Method)) +
  geom_point(size=3) +
  facet_grid(Cnfnd~Disp) +
  scale_shape_manual(values=1:nlevels(perfstats_edgeR$Method)) +
  geom_vline(xintercept=0.05, linetype="dashed") +
  labs(title="edgeR") +
  theme_bw() +
  theme(axis.text.x=element_text(angle=45, hjust=1)) 

p2_DESeq2 <- ggplot(perfstats_DESeq2, aes(x=FPR, y=TPR, group=Method, color=Method, shape=Method)) +
  geom_point(size=3) +
  facet_grid(Cnfnd~Disp) +
  scale_shape_manual(values=1:nlevels(perfstats_DESeq2$Method)) +
  geom_vline(xintercept=0.05, linetype="dashed") +
  labs(title="DESeq2") +
  theme_bw() +
  theme(axis.text.x=element_text(angle=45, hjust=1)) 
  
p2 <- ggarrange(p2_edgeR, p2_DESeq2, nrow=2)
```

```{r, echo=FALSE, fig.width=5, fig.height=7}
p2
```



### TPR (sensitivity) vs FDR (1-precision) {.tabset}

```{r, echo=FALSE, results='hide'}
rm(list=ls())
results_dir <- "~/Google Drive/ComBat_seq/DE_disp_confounding_base"
#results_dir <- "~/yuqingz/ComBat_seq/DE_disp_confounding_base"
N_samples <- 20

disp_level_vec <- 1:5
confounding_level_vec <- seq(from=0.5,to=0.2,by=-0.1)
sel_method_list <- list(edgeR=c("BaseIndi.edgeR", #"BaseQuant.edgeR", 
                                "Batch.edgeR", "OneStep.edgeR", "ComBat.lm", 
                                "RUVseq.edgeR", "SVAseq.edgeR", "ComBatseq.edgeR"),
                        DESeq2=c("BaseIndi.DESeq2", #"BaseQuant.DESeq2", 
                                 "Batch.DESeq2", "OneStep.DESeq2", "ComBat.lm", 
                                 "RUVseq.DESeq2", "SVAseq.DESeq2", "ComBatseq.DESeq2"))
```

```{r, echo=FALSE, results='hide'}
fdr_all_lst <- tpr_all_lst <- list()
for(i in 1:length(confounding_level_vec)){
  fdr_all_lst[[i]] <- tpr_all_lst[[i]] <- list()
  for(j in 1:length(disp_level_vec)){
    exp_name <- paste0("simDCbase_N", N_samples, "_dispFC", disp_level_vec[j],
                       "_percent", gsub(".","", confounding_level_vec[i], fixed=T))
    tpr_res <- read.csv(file.path(results_dir, sprintf('tprADJ_%s.csv', exp_name)))
    prec_res <- read.csv(file.path(results_dir, sprintf('precADJ_%s.csv', exp_name)))
    
    tpr_res$BaseQuant.edgeR <- NULL; tpr_res$BaseQuant.DESeq2 <- NULL
    prec_res$BaseQuant.edgeR <- NULL; prec_res$BaseQuant.DESeq2 <- NULL
    
    tpr_all_lst[[i]][[j]] <- as.list(colMeans(tpr_res, na.rm=TRUE))
    fdr_all_lst[[i]][[j]]  <- as.list(colMeans(1-prec_res, na.rm=TRUE))
  }
  names(tpr_all_lst[[i]]) <- names(fdr_all_lst[[i]]) <- paste0("Disp", disp_level_vec)
}
names(tpr_all_lst) <- names(fdr_all_lst) <- paste0("Cnfnd", confounding_level_vec)

## All methods
tpr_merged <- melt(tpr_all_lst); colnames(tpr_merged) <- c("TPR", "Method", "Disp", "Cnfnd")
fdr_merged <- melt(fdr_all_lst); colnames(fdr_merged) <- c("FDR", "Method", "Disp", "Cnfnd")
tpr_merged$Method <- factor(tpr_merged$Method, levels=colnames(tpr_res))
fdr_merged$Method <- factor(fdr_merged$Method, levels=colnames(prec_res))
tpr_merged$Cnfnd <- factor(tpr_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))
fdr_merged$Cnfnd <- factor(fdr_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))


## edgeR only
tpr_edgeR_lst <- lapply(tpr_all_lst, function(t1_lst){lapply(t1_lst, function(t2_lst){t2_lst[sel_method_list$edgeR]})})
fdr_edgeR_lst <- lapply(fdr_all_lst, function(f1_lst){lapply(f1_lst, function(f2_lst){f2_lst[sel_method_list$edgeR]})})

tpr_edgeR_merged <- melt(tpr_edgeR_lst); colnames(tpr_edgeR_merged) <- c("TPR", "Method", "Disp", "Cnfnd")
fdr_edgeR_merged <- melt(fdr_edgeR_lst); colnames(fdr_edgeR_merged) <- c("FDR", "Method", "Disp", "Cnfnd")
tpr_edgeR_merged$Method <- factor(tpr_edgeR_merged$Method, levels=sel_method_list$edgeR)
fdr_edgeR_merged$Method <- factor(fdr_edgeR_merged$Method, levels=sel_method_list$edgeR)
tpr_edgeR_merged$Cnfnd <- factor(tpr_edgeR_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))
fdr_edgeR_merged$Cnfnd <- factor(fdr_edgeR_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))


## DESeq2 only
tpr_DESeq2_lst <- lapply(tpr_all_lst, function(t1_lst){lapply(t1_lst, function(t2_lst){t2_lst[sel_method_list$DESeq2]})})
fdr_DESeq2_lst <- lapply(fdr_all_lst, function(f1_lst){lapply(f1_lst, function(f2_lst){f2_lst[sel_method_list$DESeq2]})})

tpr_DESeq2_merged <- melt(tpr_DESeq2_lst); colnames(tpr_DESeq2_merged) <- c("TPR", "Method", "Disp", "Cnfnd")
fdr_DESeq2_merged <- melt(fdr_DESeq2_lst); colnames(fdr_DESeq2_merged) <- c("FDR", "Method", "Disp", "Cnfnd")
tpr_DESeq2_merged$Method <- factor(tpr_DESeq2_merged$Method, levels=sel_method_list$DESeq2)
fdr_DESeq2_merged$Method <- factor(fdr_DESeq2_merged$Method, levels=sel_method_list$DESeq2)
tpr_DESeq2_merged$Cnfnd <- factor(tpr_DESeq2_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))
fdr_DESeq2_merged$Cnfnd <- factor(fdr_DESeq2_merged$Cnfnd, levels=paste0("Cnfnd", confounding_level_vec))
```


#### Line plots {.tabset}

##### Facet by confounding levels

```{r, echo=FALSE, results="hide"}
## All methods
p_fdr <- ggplot(fdr_merged, aes(x=Disp, y=FDR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="All", y="1 - Precision (FDR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_tpr <- ggplot(tpr_merged, aes(x=Disp, y=TPR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  labs(y="Sensitivity (TPR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_all <- ggarrange(plotlist=list(p_fdr, p_tpr), nrow=2, 
                   common.legend=TRUE, legend="bottom")

## edgeR only
p_edgeR_fdr <- ggplot(fdr_edgeR_merged, aes(x=Disp, y=FDR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="edgeR", y="1 - Precision (FDR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_edgeR_tpr <- ggplot(tpr_edgeR_merged, aes(x=Disp, y=TPR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  labs(y="Sensitivity (TPR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_edgeR <- ggarrange(plotlist=list(p_edgeR_fdr, p_edgeR_tpr), nrow=2, 
                     common.legend=TRUE, legend="bottom")

## DESeq2 only
p_DESeq2_fdr <- ggplot(fdr_DESeq2_merged, aes(x=Disp, y=FDR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="DESeq2", y="1 - Precision (FDR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_DESeq2_tpr <- ggplot(tpr_DESeq2_merged, aes(x=Disp, y=TPR, group=Method, color=Method)) +
  facet_grid(~Cnfnd) +
  geom_line() +
  labs(y="Sensitivity (TPR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_DESeq2 <- ggarrange(plotlist=list(p_DESeq2_fdr, p_DESeq2_tpr), nrow=2, 
                      common.legend=TRUE, legend="bottom")

p <- ggarrange(plotlist=list(p_edgeR, p_DESeq2), nrow=2)
```

```{r, echo=FALSE, fig.width=5, fig.height=7}
p
```


##### Facet by dispersion levels

```{r, echo=FALSE}
## All methods
p_fdr <- ggplot(fdr_merged, aes(x=Cnfnd, y=FDR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="All", y="1 - Precision (FDR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_tpr <- ggplot(tpr_merged, aes(x=Cnfnd, y=TPR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  labs(y="Sensitivity (TPR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_all <- ggarrange(plotlist=list(p_fdr, p_tpr), nrow=2, 
                   common.legend=TRUE, legend="bottom")

## edgeR only
p_edgeR_fdr <- ggplot(fdr_edgeR_merged, aes(x=Cnfnd, y=FDR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="edgeR", y="1 - Precision (FDR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_edgeR_tpr <- ggplot(tpr_edgeR_merged, aes(x=Cnfnd, y=TPR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  labs(y="Sensitivity (TPR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_edgeR <- ggarrange(plotlist=list(p_edgeR_fdr, p_edgeR_tpr), nrow=2, 
                     common.legend=TRUE, legend="bottom")

## DESeq2 only
p_DESeq2_fdr <- ggplot(fdr_DESeq2_merged, aes(x=Cnfnd, y=FDR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  geom_hline(yintercept=0.05, col="red", linetype="dashed") +
  labs(title="DESeq2", y="1 - Precision (FDR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_DESeq2_tpr <- ggplot(tpr_DESeq2_merged, aes(x=Cnfnd, y=TPR, group=Method, color=Method)) +
  facet_grid(~Disp) +
  geom_line() +
  labs(y="Sensitivity (TPR)") +
  theme(axis.text.x=element_text(angle=45, hjust=1), axis.title.x=element_blank()) 
p_DESeq2 <- ggarrange(plotlist=list(p_DESeq2_fdr, p_DESeq2_tpr), nrow=2, 
                      common.legend=TRUE, legend="bottom")

p <- ggarrange(plotlist=list(p_edgeR, p_DESeq2), nrow=2)
```

```{r, echo=FALSE, fig.width=5.5, fig.height=7}
p
```


#### Scatter plots

Similar plot (sensitivity vs 1-FDR) as Figure 6 in DESeq2 paper.

```{r, echo=FALSE}
if(identical(fdr_merged[,-1], tpr_merged[,-1])){
  perfstats_all <- data.frame(TPR=tpr_merged$TPR, FDR=fdr_merged$FDR, tpr_merged[,-1])
}else{stop("ERROR in merging data frames! - All")}
#identical(perfstats_all[,-1],fdr_merged)

if(identical(fdr_edgeR_merged[,-1], tpr_edgeR_merged[,-1])){
  perfstats_edgeR <- data.frame(TPR=tpr_edgeR_merged$TPR, FDR=fdr_edgeR_merged$FDR, tpr_edgeR_merged[,-1])
}else{stop("ERROR in merging data frames! - edgeR")}
#identical(perfstats_edgeR[,-1], fdr_edgeR_merged)

if(identical(fdr_DESeq2_merged[,-1], tpr_DESeq2_merged[,-1])){
  perfstats_DESeq2 <- data.frame(TPR=tpr_DESeq2_merged$TPR, FDR=fdr_DESeq2_merged$FDR, tpr_DESeq2_merged[,-1])
}else{stop("ERROR in merging data frames! - DESeq2")}
#identical(perfstats_DESeq2[,-1], fdr_DESeq2_merged)

```

```{r, echo=FALSE}
p2_all <- ggplot(perfstats_all, aes(x=FDR, y=TPR, group=Method, color=Method, shape=Method)) +
  geom_point(size=3) +
  facet_grid(Cnfnd~Disp) +
  scale_shape_manual(values=1:nlevels(perfstats_all$Method)) +
  geom_vline(xintercept=0.05, linetype="dashed") +
  labs(title="All methods", x="1 - Precision (FDR)", y="Sensitivity (TPR)") +
  theme_bw() +
  theme(axis.text.x=element_text(angle=45, hjust=1)) 

p2_edgeR <- ggplot(perfstats_edgeR, aes(x=FDR, y=TPR, group=Method, color=Method, shape=Method)) +
  geom_point(size=3) +
  facet_grid(Cnfnd~Disp) +
  scale_shape_manual(values=1:nlevels(perfstats_edgeR$Method)) +
  geom_vline(xintercept=0.05, linetype="dashed") +
  labs(title="edgeR", x="1 - Precision (FDR)", y="Sensitivity (TPR)") +
  theme_bw() +
  theme(axis.text.x=element_text(angle=45, hjust=1)) 

p2_DESeq2 <- ggplot(perfstats_DESeq2, aes(x=FDR, y=TPR, group=Method, color=Method, shape=Method)) +
  geom_point(size=3) +
  facet_grid(Cnfnd~Disp) +
  scale_shape_manual(values=1:nlevels(perfstats_DESeq2$Method)) +
  geom_vline(xintercept=0.05, linetype="dashed") +
  labs(title="DESeq2", x="1 - Precision (FDR)", y="Sensitivity (TPR)") +
  theme_bw() +
  theme(axis.text.x=element_text(angle=45, hjust=1)) 
  
p2 <- ggarrange(p2_edgeR, p2_DESeq2, nrow=2)
```

```{r, echo=FALSE, fig.width=5, fig.height=7}
p2
```



## Thoughts & future work

* 
